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Finding the Fourth Proportional to 876.38, 1,209.41 and 566.42

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Solution

The fourth proportional to 876.38, 1,209.41 and 566.42 is: 781.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.38 : 1,209.41 = 566.42 : x
  2. Step 2: Convert to fraction form
    876.38/1,209.41 = 566.42/x
  3. Step 3: Cross multiply
    876.38x = 1,209.41 × 566.42
  4. Step 4: Simplify right side
    876.38x = 685,029.38
  5. Step 5: Solve for x
    x = 685,029.38/876.38
  6. Step 6: Final answer
    x = 781.66

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.